Computational Statistics

A local college cafeteria has a self-service soft ice cream machine.The cafeteria provides bowls that can hold up to 16 ounces of ice cream. The food service manager is interested in comparing the average amount of ice cream dispensed by male students to the average amount dispensed by female students.A measurement device was placed on the ice cream machine to determine the amounts dispensed. Random samples of 92 male and 7'? female students who got ice cream were selected. The sample averages were 7.19 and 6-52 ounces for the male and female students, respectively. Assume that the population standard deviations are 1.20 and 1.1? ounces, respectively. a. Let p. and p2 be the population means of ice cream amounts dispensed by all male and female students at this college. respectively. What is the point estimate ofpl #2? Point estimate of p. ,u2 = a: ounce[s]I b. lConstructa 90% condence interval for p. p2. Use zvalues rounded to two decimal places. Round your answers to two decimal places. c. Using a 1% signicance level, can you conclude that the average amount of ice cream dispensed by male college students is larger than the average amount dispensed by female college students? Use both approaches to make this test. Round your answer for the observed value of z to two decimal places, and the p-value to four decimal places. Conclusion: Hg. Do not reject . . . We can conc Reject ge amount of Ice cream dispensed by male college students Is v the average amount dispensed by female college students